Sentence examples for been looking for from inspiring English sources

"been looking for" is correct and usable in written English.
It is the present perfect progressive form of the verb "to look for," indicating that the action of looking for something started in the past and is still ongoing. You can use it in various contexts, such as describing a continuous action or state, expressing frustration or persistence, or indicating a recent finding. Example: I have been looking for my keys for hours, but I still can't find them. This sentence expresses frustration at the ongoing and unsuccessful search for the keys. Another example could be: The police have been looking for the suspect since yesterday, but they have not been able to find any leads.